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  1. Who is obliged when many are involved? Labelled transition system modelling of how obligation arises.Piotr Kulicki, Robert Trypuz & Marek Sergot - 2020 - Artificial Intelligence and Law 29 (3):395-415.
    The paper tackles the problem of the relation between rights and obligations. Two examples of situations in which such a relation occurs are discussed. One concerns the abortion regulations in Polish law, the other one—a clash between freedom of expression and freedom of enterprise occurring in the context of discrimination. The examples are analysed and formalised using labelled transition systems in the \ framework. Rights are introduced to the system as procedures allowing for their fulfilment. Obligations are based on the (...)
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  • Dynamic Logic of Legal Competences.Huimin Dong & Olivier Roy - 2021 - Journal of Logic, Language and Information 30 (4):701-724.
    We propose a new formalization of legal competences, and in particular for the Hohfeldian categories of power and immunity, through a deontic reinterpretation of dynamic epistemic logic. We argue that this logic explicitly captures the norm-changing character of legal competences while providing a sophisticated reduction of the latter to static normative positions. The logic is completely axiomatizable, and we apply it to a concrete case in German contract law to illustrate that it can capture the distinction between legal ability and (...)
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  • Computability of diagrammatic theories for normative positions.Matteo Pascucci & Giovanni Sileno - 2021 - In Erich Schweighofer (ed.), Legal Knowledge and Information Systems. Proceedings of JURIX 2021. IOS Press. pp. 171-180.
    Normative positions are sometimes illustrated in diagrams, in particular in didactic contexts. Traditional examples are the Aristotelian polygons of opposition for deontic modalities (squares, triangles, hexagons, etc.), and the Hohfeldian squares for obligative and potestative concepts. Relying on previous work, we show that Hohfeld’s framework can be used as a basis for developing several Aristotelian polygons and more complex diagrams. Then, we illustrate how logical theories of increasing strength can be built based on these diagrams, and how those theories enable (...)
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  • Disentangling deontic positions and abilities: a modal analysis.Giovanni Sileno & Matteo Pascucci - 2020 - In Proceedings of CILC 2020. CEUR Workshop Proceedings. pp. 36-50.
    Computational systems are traditionally approached from control-oriented perspectives; however, as soon as we move from centralized to decentralized computational infrastructures, direct control needs to be replaced by distributed coordination mechanisms that are on par with institutional constructs observable in human societies (contracts, agreements, enforcement mechanisms, etc.). This paper presents a formalization of Hohfeld's framework building upon a logic whose language includes primitive operators of ability and parametric deontic operators. The proposal is meant to highlight the fundamental interaction between deontic and (...)
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  • The search for symmetry in Hohfeldian modalities.Matteo Pascucci & Giovanni Sileno - 2021 - In Amrita Basu, Gem Stapleton, Sven Linker, Catherine Legg, Emmanuel Manalo & Petrucio Viana (eds.), Diagrammatic Representation and Inference. Proceedings of Diagrams 2021. Springer. pp. 87-102.
    In this work we provide an analysis of some issues arising with geometrical representations of a family of deontic and potestative relations that can be classified as Hohfeldian modalities, traditionally illustrated on two diagrams, the Hohfeldian squares. Our main target is the lack of symmetry to be found in various formal accounts by drawing analogies with the square of opposition for alethic modalities. We argue that one should rather rely on an analogy with the alethic hexagon of opposition and exploit (...)
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